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Finding the Fourth Proportional to 465.91, 698.96 and 173.50

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Solution

The fourth proportional to 465.91, 698.96 and 173.50 is: 260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.91 : 698.96 = 173.50 : x
  2. Step 2: Convert to fraction form
    465.91/698.96 = 173.50/x
  3. Step 3: Cross multiply
    465.91x = 698.96 × 173.50
  4. Step 4: Simplify right side
    465.91x = 121,268.25
  5. Step 5: Solve for x
    x = 121,268.25/465.91
  6. Step 6: Final answer
    x = 260.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.